gradians to radians | Exact Decimal + Formula
1 Gradian = 0.015708 Radian
Conversions between Gradian (grad) and Radian (rad) are essential in the angle category. This tool provides a quick, free, and accurate way to convert gradians to radians for academic, professional, or personal calculations. Check the detailed conversion table and formula explanation below for more context.
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Formula
rad = grad × 0.015707963
To convert Gradian to Radian, use the formula displayed above.
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Gradian to Radian: Quick Reference Table
| Gradian | Radian (Decimal) | Fraction |
|---|---|---|
| 0.001 grad | 0.000016 rad | - |
| 0.01 grad | 0.000157 rad | - |
| 0.1 grad | 0.001571 rad | - |
| 0.5 grad | 0.007854 rad | - |
| 1 grad | 0.015708 rad | - |
| 2 grad | 0.031416 rad | - |
| 5 grad | 0.07854 rad | - |
| 10 grad | 0.15708 rad | - |
| 25 grad | 0.392699 rad | - |
| 50 grad | 0.785398 rad | - |
| 100 grad | 1.570796 rad | - |
| 250 grad | 3.926991 rad | - |
| 500 grad | 7.853982 rad | - |
| 1000 grad | 15.707963 rad | - |
grad to rad Formula and Examples
Direct Formula
rad = grad × 0.015707963 Inverse Formula
grad = rad × 63.661977 Mental Math Shortcut
Divide the value by roughly 63.7 to quickly estimate the converted result.
Common Gradian to Radian Calculations
- 5 grad = 0.07854 rad
- 10 grad = 0.15708 rad
- 50 grad = 0.785398 rad
- 100 grad = 1.570796 rad
- 500 grad = 7.853982 rad
How to Convert Gradian to Radian
How many radians are in a gradian?
1 Gradian (grad) is equal to 0.015708 Radian (rad). To convert gradians to radians, multiply your value by 0.015708.
How do I convert gradian to radian?
To convert Gradian to Radian, use the formula: Radian = Gradian × 0.015708. For example, 5 grad = 0.07854 rad.
What is the formula for grad to rad?
The formula is: rad = grad × 0.015708. This is based on the exact SI conversion factor. Use our calculator above to convert any value instantly.